Invariant differential operators. Volume 1, Noncompact semisimple lie algebras and groups / Vladimir K. Dobrev.

Format:

• Book

Author/Creator:

• Dobrev, Vladimir K., author.

Series:

• De Gruyter studies in mathematical physics ; Volume 35.
• De Gruyter Studies in Mathematical Physics, 2194-3532 ; Volume 35

Language:

English

Subjects (All):

• Lie algebras.
• Lie groups.
• Differential invariants.

Physical Description:

1 online resource (422 pages) : illustrations.

Edition:

1st ed.

Place of Publication:

Berlin, [Germany] ; Boston, [Massachusetts] : De Gruyter, 2016.

Language Note:

In English.

Summary:

With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents:IntroductionLie Algebras and GroupsReal Semisimple Lie AlgebrasInvariant Differential OperatorsCase of the Anti-de Sitter GroupConformal Case in 4DKazhdan-Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant EquationsInvariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie AlgebrasMultilinear Invariant Differential Operators from New Generalized Verma ModulesBibliographyAuthor IndexSubject Index

Contents:

• Frontmatter
• Preface
• Contents
• 1. Introduction
• 2. Lie Algebras and Groups
• 3. Real Semisimple Lie Algebras
• 4. Invariant Differential Operators
• 5. Case of the Anti-de Sitter Group
• 6. Conformal Case in 4D
• 7. Kazhdan-Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations
• 8. Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras
• 9. Multilinear Invariant Differential Operators from New Generalized Verma Modules
• Bibliography
• Author Index
• Subject Index
• Backmatter

Notes:

• Includes bibliographical references and indexes.
• Description based on online resource; title from PDF title page (ebrary, viewed October 7, 2016).

ISBN:

• 9783110427653
• 3110427656
• 9783110427806
• 311042780X

OCLC:

960014236